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Furkat [3]
3 years ago
6

3RD TIME I ASK QUESTION NO ANSWER JUST NEED THE ANSWER

Mathematics
1 answer:
lyudmila [28]3 years ago
4 0
4+14-8
18-8
10
 ...................        


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Evaluate the six trigonometric functions of the angle 0.
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Given:

Right triangle

To find:

The six trigonometric functions of θ

Solution:

Hypotenuse = 18

Adjacent side to θ = 10

Opposite side to θ = ?

Using Pythagoras theorem:

\text {Hypotenuse}^2 = \text{adjacent}^2+\text{opposite}^2

18^2 =10^2+\text{opposite}^2

324=100+\text{opposite}^2

Subtract 100 from both sides.

224=\text{opposite}^2

Taking square root on both sides.

4\sqrt{14}=\text{opposite}

Using trigonometric ratio formula:

$\sin\theta =\frac{\text{opposite }}{\text{hypotenuse}}

$\sin\theta =\frac{4\sqrt{14} }{18}

$\csc\theta =\frac{\text{hypotenuse}}{\text{opposite }}

$\csc\theta =\frac{18}{4\sqrt{14} }

$\cos \theta=\frac{\text { adjacent side }}{\text { hypotenuse }}

$\cos \theta=\frac{10}{18}

$\sec \theta=\frac{\text { hypotenuse }}{\text { adjacent side }}

$\sec \theta=\frac{18 }{10}

$\tan \theta=\frac{\text { opposite side }}{\text { adjacent side }}

$\tan \theta=\frac{4\sqrt{14} }{10}

$\cot \theta=\frac{\text { adjacent side }}{\text { opposite side }}

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8 0
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A three-dimensional array can be thought of as ______ of two-dimensional arrays.
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<h3>If the divisor is 4 and the quotient is 8, Then, dividend is 32</h3>

<em><u>Solution:</u></em>

Given that,

Divisor = 4

Quotient = 8

To find: dividend

We know that,

Dividend \div divisor = quotient

Therefore,

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Thus, dividend is 32

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